Here's an example of how addition is the inverse operation of subtraction: If we start with five, subtract two, then add two, we get back to five:

Now, the associative law of addition tells us it doesn't matter whether we add 77 and 2 first or whether we add 2 and 3 first. We can associate them differently.

Learn about the commutative, associative, and identity properties of addition through interactive lessons on Khan Academy.

Now, this commutative law of addition sounds like a very fancy thing, but all it means is if you're just adding a bunch of numbers, it doesn't matter what order you add the numbers in.

Through practical examples, we explore whether changing the grouping in addition, subtraction, multiplication, and division of rational numbers affects the final result. Students will discover …

Through clear examples, we demonstrate whether addition, subtraction, multiplication, and division of rational numbers are commutative or not. By working through specific cases, …

See how we can add or subtract two functions to create a new function.

Learn about the properties of matrix addition (like the commutative property) and how they relate to real number addition.

Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by …

The commutative property of addition tells us that it doesn't matter if the 0 comes before or after the number. Here's an example of the identity property of addition with the 0 after the number: